A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much

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A company manufactures printers and fax machines at plants
located in Atlanta, Dallas, and Seattle. To measure how much
employees at these plants know about quality management, a random
sample of 6 employees was selected from each plant and the
employees selected were given a quality awareness examination. The
examination scores for these 18 employees are shown in the
following table. The sample means, sample variances, and sample
standard deviations for each group are also provided. Managers want
to use these data to test the hypothesis that the mean examination
score is the same for all three plants.
Set up the ANOVA table for these data. (Round your values for
MSE and F to two decimal places, and
your p-value to four decimal places.)
Test for any significant difference in the mean examination
score for the three plants. Use
𝛼 = 0.05.